Https and stylesheet

I have a problem loading a stylesheet for a flash movie, localy is not any problem - but on a remote server on a https adress it is, I have this code:


var mittCss:TextField.StyleSheet = new TextField.StyleSheet();

mittCss.onLoad = function(success) {
        if (success) {
            mitt_textfalt.styleSheet = mittCss;
            
            
        } else {
            mitt_textfalt.text = "Stylesheet did not load";
        }
    };
mittCss.load("stil.css");

If I change the path to the css I get an error on the remote server (Stylesheet did not load), but if I have the right path - for this in the same directory - nothing happens. Is this a security issue?